A majorization comparison of apportionment methods in proportional representation

From the inception of the proportional representation movement it has been an issue whether larger parties are favored at the expense of smaller parties in one apportionment of seats as compared to another apportionment. A number of methods have been proposed and are used in countries with a proportional representation system. These apportionment methods exhibit a regularity of order, as discussed in the present paper, that captures the preferential treatment of larger versus smaller parties. This order, namely majorization, permits the comparison of seat allocations in two apportionments. For divisor methods, we show that one method is majorized by another method if and only if their signpost ratios are increasing. This criterion is satisfied for the divisor methods with power-mean rounding, and for the divisor methods with stationary rounding. Majorization places the five traditional apportionment methods in the order as they are known to favor larger parties over smaller parties: Adams, Dean, Hill, Webster, and Jefferson. Received: 5 August 2000/Accepted: 24 October 2001     

The price of a loaf of bread: some conceptions of family support*

This paper reports on a case study of one local authority, and illustrates the different definitions of the term ‘family support’ employed by the different agencies within the authority. It provides a framework to analyse the contribution of the agencies according to the assumptions they make about methods and efficacy of intervention and access to and termination of intervention. It contrasts the findings from this framework with a needs based model of ‘family support’. Social work and health services tend to operate within a narrow, historically determined range, focusing most heavily on emotional support and behavioural change; whereas users and some of the other agencies are more likely to raise matters such as income maintenance, child care, leisure and education. The findings of the case study are discussed in relation to resources for families, key issues for the implementation of family support identified during the introduction of the Children Act, 1989, and the relevance of Social Services Inspectorate inspections to these issues. Copyright © 2002 John Wiley & Sons, Ltd.     

Territorial Modernity and Public Space: Lessons from the Politics of Water Conflict Along the US/Canadian Border

Conflict over water resources is a major problem throughout the world. This essay describes the long-standing and often successful effort to insulate decisions on how to allot water among contending users, and how to reduce water pollution along a 5000-mile international border. The effort has been fraught with political and scientific complexity. Yet, after more than 90 years of experience, it provides a model that other nations are beginning to examine as relevant to their own efforts to find solutions.     

The Relationship Between Sense of Coherence and Career Thoughts

The authors examined the impact of sense of coherence on the career thought processes of a sample of college students. A. Antonovsky (1987) defined sense of coherence as the global orientation that the world is comprehensible, manageable, and meaningful. Study participants completed the Sense of Coherence Scale (A. Antonovsky, 1987) and the Career Thoughts Inventory (CTI; J. P. Sampson, G. W. Peterson, J. G. Lenz, R. C. Reardon, & D. E. Saunders, 1996). Multivariate tests indicated a medium relationship between sense of coherence and CTI Total and subscale scores; sense of coherence accounted for 14% of the variance. Univariate tests also indicated a medium relationship between sense of coherence and each subscale.     

Binding the Generations: Household Formation Patterns among Vietnamese Refugees1

Much of the analysis of refugee and immigrant adaptation has stressed the interaction of prior experience with the requirements of life in a new country. For refugees, that interaction has often been jarring because of the after‐effects of their flight and their relative inability to prepare for a new life in a new country. Yet refugees have often done rather well in economic terms in that new country. The reasons for that relative success have been phrased in cultural terms (e.g., the predisposition toward education) and in general socioeconomic terms (e.g., refugees as educated and skilled). This article examines a set of factors that lie between these customary cultural and socioeconomic categories. Specifically, the paper examines key features of household formation among Vietnamese refugees. An examination of historical data from southern Vietnam indicates patterns in household formation that appear durable over time yet are not shared across the breadth of Vietnam and cannot thus be viewed as “cultural” in the usual sense. A comparison of the historical data with recent national survey data on refugees in the United States indicates that these patterns continue among Vietnamese refugees and are ‐ as compared to other refugees ‐ distinctive to them. These patterns of household formation provide Vietnamese refugees with important options in adaptation to a new country.     

The Existential Side of Kohut's Tragic Man

This article explores the way in which Kohut's concept of Tragic Man functions as a response to criticisms of self psychology as proffering a partial, utopian, strife-denying theory of human development. After citing several representative critiques in this respect, I review the concept of Tragic Man as defined by Kohut, and then seek to deepen the clinical usefulness of this concept through a discussion of affects, empathy, and free association. A clinical vignette concludes the paper, through which some of these ideas find illustration.     

Adolescents' and Mothers' Understanding of Children's Rights in the Home

Adolescents' and mothers' understanding of children's self‐determination and nurturance rights was examined in the context of the home. In individual interviews, 141 sixth, eighth, and tenth graders and their mothers responded to hypothetical vignettes in which a child story character wished to exercise a right that conflicted with parental practices. For each vignette, participants were asked to judge whether the story character should have the right in question and to provide a justification for their decision. Generally, eighth and tenth graders were more likely than their mothers to endorse requests for self‐determination and less likely than their mothers to support requests for nurturance. Mothers of tenth graders were more likely to support requests for self‐determination and less likely to favor adolescents' request for nurturance in the home than were mothers of sixth and eighth graders. In terms of reasoning, adolescents and mothers were more likely to consider the individuals' rights when discussing self‐determination situations, whereas nurturance situations elicited responses pertaining to participants' understanding of familial roles and relationships. Furthermore, mothers' reasoning about childrenà s rights reflected sensitivity to the developmental level of their children. The findings are discussed in terms of previous research on the development of children's understanding of rights and adolescent autonomy.     

Estimation of Hazard, Density and Survivor Functions for Randomly Censored Data

Maximum likelihood estimation and goodness-of-fit techniques are used within a competing risks framework to obtain maximum likelihood estimates of hazard, density, and survivor functions for randomly right-censored variables. Goodness-of- fit techniques are used to fit distributions to the crude lifetimes, which are used to obtain an estimate of the hazard function, which, in turn, is used to construct the survivor and density functions of the net lifetime of the variable of interest. If only one of the crude lifetimes can be adequately characterized by a parametric model, then semi-parametric estimates may be obtained using a maximum likelihood estimate of one crude lifetime and the empirical distribution function of the other. Simulation studies show that the survivor function estimates from crude lifetimes compare favourably with those given by the product-limit estimator when crude lifetimes are chosen correctly. Other advantages are discussed.